1. [-/1 Points] DETAILS TANAPMATH7 11.3.002. MY NOTES ASK YOUR TEACHER Find an approximation of the area of the region R under the graph of f by computing the Riemann sum of f corresponding to the partition of the interval into the subintervals shown in the accompanying figure. Use the midpoints of the subintervals as the representative points. (Round your answer to three decimal points.) 8.0 8.5 6.0 4.5 4.0 0 2.5 2 y = f(x) X square units Need Help? Read It Watch ItPRACTICE ANOTHER DETAILS TANAPMATH7 11.3.003. MY NOTES ASK YOUR TEACHER 2. [-/1 Points] Let f(x) = 4x. (a) Sketch the region R under the graph of f on the interval [0, 2]. 8 6 6 6 4 4 4 2 2 2 X X 3 4 5 6 7 1 2 3 4 5 6 7 1 2 3 4 5 6 7 1 2 O 6 4Find its exact area using geometry. square units (b) Use a Riemann sum with four subintervals of equal length (n = 4) to approximate the area of R. Choose the representative points to be the left endpoints of the subintervals. square unlts (c) Repeat part (b) with eight subintervals of equal length (n = 8). square units (d) Compare the approximations obtained in parts (b) and (c) with the exact area found in part (a). Do the approximations improve with larger 11? " Yes A No Need Help? webassign.net C + Or Welcome | MySAIL - Oakland University in Course: MTH-1222-32170.202230-Calculus for Social... "A 11.3 Hmwk-Area & the Definite Integral - MTH 1222, se... *Dashboard 3. [-/1 Points] DETAILS TANAPMATH7 11.3.004. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Let f(x) = 2x. (a) Sketch the region R under the graph of f on the interval [0, 2]. 8 5 6 6 6 4 4 4 2 2 2 1 2 3 4 5 6 7 1 2 3 4 5 6 7 1 2 3 4 5 6 7 6 4B webassigntnet 11.3 Hmwk-Area &the Definite Integral - MTH 1222, se... Find its exact area using geometry. square units (b) Use a Riemann sum with four subintervals of equal length (n = 4) to approximate the area of R. Choose the representative points to be the right endpoints of the subintervals. square units (c) Repeat part (b) with eight subintervals of equal length (n = 8). square units (d) Compare the approximations obtained in parts (b) and (c) with the exact area found in part (a). Do the approximations improve with larger n? Yes ' No Need Help? E v webassign.net C + Q Welcome | MySAIL - Oakland University in Course: MTH-1222-32170.202230-Calculus for Social... "A 11.3 Hmwk-Area & the Definite Integral - MTH 1222, se... *Dashboard Need Help? Read It 4. [-/1 Points] DETAILS TANAPMATH7 11.3.010. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Let f(x) = x', and compute the Riemann sum of f over the interval [4, 5], choosing the representative points to be the midpoints of the subintervals and using the following number of subintervals (n). (Round your answers to two decimal places.) (a) two subintervals of equal length (n = 2) (b) five subintervals of equal length (n = 5) (c) ten subintervals of equal length (n = 10) (d) Can you guess at the area of the region under the graph of f on the interval [4, 5]? square units Need Help? Read It Watch It 5. [-/1 Points] DETAILS TANAPMATH7 11.3.011. MY NOTES ASK YOUR TEACHER PRA Let f(x) = x' and compute the Riemann sum of f over the interval [4,5], using the following number of subintervals (n). In each case, choose the representative points to be the left endpoints of the subintervals. (Round your answers to two decimal places.) (a) Use two subintervals of equal length (n = 2).webassign.net C + Or Welcome | MySAIL - Oakland University in Course: MTH-1222-32170.202230-Calculus for Social... "A 11.3 Hmwk-Area & the Definite Integral - MTH 1222, se... *Dashboard 5. [-/1 Points] DETAILS TANAPMATH7 11.3.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Let f(x) = x' and compute the Riemann sum of f over the interval [4,5], using the following number of subintervals (n). In each case, choose the representative points to be the left endpoints of the subintervals. (Round your answers to two decimal places.) (a) Use two subintervals of equal length (n = 2). (b) Use five subintervals of equal length (n = 5). (c) Use ten subintervals of equal length (n = 10). (d) Can you guess at the area of the region under the graph of f on the interval [4, 5]? square units Need Help? Read It Watch It 6. [-/1 Points] DETAILS TANAPMATH7 11.3.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find an approximation of the area of the region R under the graph of the function f on the interval [0, 2]. Use n = 5 subintervals. Choose the representative points to be the midpoints of the subintervals. f(x) = x2+ 10 square units Need Help? Read Itv webassign.net C + Q Welcome | MySAIL - Oakland University in Course: MTH-1222-32170.202230-Calculus for Social... "A 11.3 Hmwk-Area & the Definite Integral - MTH 1222, se... *Dashboard Watch It 6. [-/1 Points] DETAILS TANAPMATH7 11.3.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find an approximation of the area of the region R under the graph of the function f on the interval [0, 2]. Use n = 5 subintervals. Choose the representative points to be the midpoints of the subintervals. f (x) = x2+ 10 square units Need Help? Read It 7. [-/1 Points] DETAILS TANAPMATH7 11.3.015. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find an approximation of the area of the region R under the graph of the function f on the interval [1, 3]. Use n = 4 subintervals. Choose the representative points to be the right endpoints of the subintervals. f ( x ) = 3 square units Need Help? Read It Watch It Submit Assignment Save Assignment Progress